Question if-the
If the ordered pair 
satisfies the system of equations above, what is one possible value of x ?
If the ordered pair satisfies the system of equations above, what is one possible value of
Hard-difficulty · SAT Math · Systems Involving Nonlinear Equations — Substitution/elimination with nonlinear components. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is either 0 or 3. For an ordered pair to satisfy a system of equations, both the x- and y-values of the ordered pair must satisfy each equation in the system. Both expressions on the right-hand side of the given equations are equal to y, therefore it follows that both expressions on the right-hand side of the equations are equal to each other: 
. This equation can be rewritten as 
, and then through factoring, the equation becomes 
. Because the product of the two factors is equal to 0, it can be concluded that either 
or 
, or rather, or 
. Note that 0 and 3 are examples of ways to enter a correct answer.
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